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Algebra --- Mathematics, Arab. --- Algebra
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Mathematics, Arab --- History --- -Arab mathematics --- Mathematics, Arabic --- -History --- Arab mathematics --- Mathematics, Arab - History
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Cet ouvrage composé de cinq volumes est considéré comme une grande réussite dans la découverte des manuscrits scientifiques arabes. C'est une encyclopédie complète et bien pensée dans le domaine des «mathématiques analytiques». Dans ce travail, il convient de souligner l'affirmation de l'existence d'une école arabe initialement active et productive dans le domaine des mathématiques analytiques et techniques. L'auteur s'est donné beaucoup de mal pour trouver des documents sur les mathématiques de l'infiniment petit, écrites en arabe. Il a vérifié et expliqué les critiques. Il a également documenté le développement historique de la science à ses stades les plus avancés entre le troisième et le cinquième siècle de l’histoire (siècles IX et XI). Il identifie leurs érudits, notamment al-Ḥasan bin al-Haytham, l'érudit en mathématiques considéré comme un pionnier dans son domaine. Son travail a influencé ceux qui l'ont suivi dans le domaine de l'optique en particulier et de la physique en général. L'étude est caractérisée par une analyse objective, des dérivations mathématiques et une lecture correcte et logique des sources.
Mathematics, Arab --- Calculus --- Middle East --- Mathematical analysis --- History --- Mathematics, Arab - History --- Calculus - History --- Mathematical analysis - History
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Mathematics, Greek --- Mathematics, Arab --- Algebra --- Diophantus, - of Alexandria. - Arithmetica
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From Antiquity until recently, philosophers and mathematicians have continually discussed the concept of angle and its relation to archimedean and non-archimedean theories of measurement. For the first time, this book traces the history of these discussions in Greek and Arabic, from Euclid to Kamāl al-Dīn al-Fārisī, after whom the discussion was not resumed until Newton and Euler. The volume presents first editions of over twenty texts, either in Arabic or Greek and translated into Arabic, of the greatest mathematicians and philosophers of the time. The texts are here translated into French and supplemented with extensive commentary. The book begins with the definitions and propositions of Euclid on angles and measurement, followed by the Greek commentary tradition represented by Proclus and Simplicius (only extant in Arabic) and the writings of the Arabic mathematicians and philosophers from the 9th through 14th century, placing the fundamental contributions by Avicenna and Ibn al-Haytham into their historical context and showing how numerous successors produced new syntheses of their work.
Angles (Geometry) --- Mathematics, Greek --- Mathematics, Arab --- History --- History of mathematics.
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Mathematics, Arab --- Algebra --- Mathématiques arabes --- Algèbre --- History --- Histoire --- Mathématiques arabes --- Algèbre --- Mathematics, Arab - History - To 1500. --- Algebra - Arab countries - History - To 1500. --- Mathematics, Arab - History - 16th century. --- Algebra - Arab countries - History - 16th century.
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Arab mathematics --- Arabische wiskunde --- Mathematics [Arab ] --- Mathematics [Arabic ] --- Mathématiques arabes --- Wiskunde [Arabische ] --- Optics --- History --- Mathematics --- Philosophy
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Astronomy --- Mathematics, Arab --- Geography, Ancient --- Astronomie --- Mathématiques arabes --- Géographie ancienne --- History --- Histoire
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